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Finding the Fourth Proportional to 1,144.75, 1,579.35 and 702.19

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Solution

The fourth proportional to 1,144.75, 1,579.35 and 702.19 is: 968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.75 : 1,579.35 = 702.19 : x
  2. Step 2: Convert to fraction form
    1,144.75/1,579.35 = 702.19/x
  3. Step 3: Cross multiply
    1,144.75x = 1,579.35 × 702.19
  4. Step 4: Simplify right side
    1,144.75x = 1,109,003.78
  5. Step 5: Solve for x
    x = 1,109,003.78/1,144.75
  6. Step 6: Final answer
    x = 968.77

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.